Answer:
0.51 liters in the glass
Step-by-step explanation:
Given


Required
Determine how many liters in the glass
To do this, we simply multiply the fraction poured by the total.
So, we have:




<em>There will be 0.51 liters in the glass</em>
X-c/2 = d
Multiply by 2 on both sides. Leaves us with:
x-c = 2d
Add 2 to both sides. Leaves us with:
x = 2d + c
Unless you have values to substitute into the variables, this is your answer:
x = 2d + c
81.4% ≅ 81%. The probability that a customer ordered a hot drink given that he or she ordered a large is 81%.
The key to solve this problem is using the conditional probablity equation P(A|B) = P(A∩B)/P(B). Conditional probability is the probability of one event occurring with some relationship to one or more other events.
Similarly to the previous exercise, P(A∩B) is the probability that a customer order a large hot drink. So, P(A∩B) = 22/100 = 0.22
For P(B), is the probability that a customer order a large drink whether hot or cold. P(B) = 27/100 = 0.27
P(A|B) = 0.22/0.27 = 0.814
multiplying by 100%, we obtain 81.4%
Answer:
The expected number of interviews is 3.25.
Step-by-step explanation:
For each person applying for a profissional position, there are only two possible outcomes. Either they land an interview, or they do not. The probability of a person landing an interview is independent of any other person. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
The expected value of the binomial distribution is:

In this problem, we have that:

So

The expected number of interviews is 3.25.
Answer: The correct option is (B) 3.
Step-by-step explanation: We are given a circle X with radius 5 units and chord AB with length 8 units.
We are to find the length of segment XC that bisects chord.
We know that the line segment drawn from the center of a circle to the midpoint of a chord is perpendicular to the chord.
So, in the given circle X, the segment XC is perpendicular to chord AB. Then, triangle XCB will be a right angled triangle with hypotenuse XB.
Since XC bisects AB, so the length of BC will be

And, radius, XB = 5 units.
Using Pythagoras theorem in triangle XCB, we have

Thus, the length of the segment XC is 3 units.
Option (B) is CORRECT.